Dynamics of induced mappings on symmetric products, some answers

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dc.contributor.authorIllanes, Alejandroes_ES
dc.contributor.authorMartínez-de-la-Vega, Verónicaes_ES
dc.contributor.funderUniversidad Nacional Autónoma de Méxicoes_ES
dc.contributor.funderConsejo Nacional de Ciencia y Tecnología, Méxicoes_ES
dc.date.accessioned2022-10-06T06:54:37Z
dc.date.available2022-10-06T06:54:37Z
dc.date.issued2022-10-03
dc.description.abstract[EN] Let X be a metric continuum and n ∈ N. Let Fn(X) be the hyperspace of nonempty subsets of X with at most n points. If 1 ≤ m < n, we consider the quotient space Fnm(X) = Fn(X)/Fm(X). Given a mapping f : X → X, we consider the induced mappings fn : Fn(X) → Fn(X)and fnm : Fnm(X) → Fnm(X). In this paper we study relations among the dynamics of the mappings f, fn and fnm and we answer some questions, by F. Barragán, A. Santiago-Santos and J. Tenorio, related to the properties: minimality, irreducibility, strong transitivity and turbulence.en_EN
dc.description.accrualMethodOJSes_ES
dc.description.bibliographicCitationIllanes, A.; Martínez-De-La-Vega, V. (2022). Dynamics of induced mappings on symmetric products, some answers. Applied General Topology. 23(2):235-242. https://doi.org/10.4995/agt.2022.17492es_ES
dc.description.issue2es_ES
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dc.description.referencesF. Barragán, A. Santiago-Santos and J. Tenorio, Dynamic properties for the induced maps on $n$-fold symmetric product suspensions, Glas. Mat. Ser. 51 (71) (2016), 453-474. https://doi.org/10.3336/gm.51.2.12es_ES
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dc.description.sponsorshipThis paper was partially supported by the projects “Teoría de Continuos, Hiperespacios y Sistemas Dinámicos III”, (IN 106319) of PAPIIT, DGAPA, UNAM; and “Teoría de Continuos e Hiperespacios, dos” (AI-S-15492) of CONACYT.es_ES
dc.description.upvformatpfin242es_ES
dc.description.upvformatpinicio235es_ES
dc.description.volume23es_ES
dc.identifier.doi10.4995/agt.2022.17492
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/187114
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de Valènciaes_ES
dc.relation.ispartofApplied General Topologyes_ES
dc.relation.pasarelaOJS\17492es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/UNAM//IN 106319/Teoría de Continuos, Hiperespacios y Sistemas Dinámicos IIIes_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/CONACYT//AI-S-15492/Teoría de Continuos e Hiperespacios, doses_ES
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2022.17492es_ES
dc.relation.references10.1556/314.2020.00007es_ES
dc.relation.references10.3336/gm.51.2.12es_ES
dc.relation.references10.1016/j.topol.2020.107484es_ES
dc.relation.references10.4995/agt.2020.11807es_ES
dc.relation.references10.1090/S0002-9947-1986-0854086-8es_ES
dc.relation.references10.1016/j.chaos.2012.05.003es_ES
dc.relation.references10.1016/j.topol.2011.07.004es_ES
dc.relation.references10.1007/BF02972670es_ES
dc.relation.references10.1090/S0002-9947-1966-0197683-5es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectContinuumes_ES
dc.subjectDynamical systemes_ES
dc.subjectInduced mappinges_ES
dc.subjectIrreducibilityes_ES
dc.subjectSymmetric productes_ES
dc.subjectTurbulencees_ES
dc.titleDynamics of induced mappings on symmetric products, some answerses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuidb232f7fc-4191-4b3d-96f6-cf079c9780ffes_ES

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Applied General Topology - Vol 23, No 2 (2022)